 | United States. Office of Education - 1921 - 1286 pages
...meet, they intersect in a straight line. 2. If a line is perpendicular to each of two intersecting lines at their point of intersection it is perpendicular to the plane of the two lines. 3. Every perpendicular to a given line at a given point lies in a plane perpendicular to the given... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...produced indefinitely. Proposition 204 Theorem // a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane determined by these lines. Hypothesis. The line AB is -L to the lines BC and BD at their point of intersection,... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...out three lines in the classroom that are perpendicular to some plane. PERPENDICULAR TO A PLANE 248. Theorem. If a line is perpendicular to each of two...of intersection, it is perpendicular to the plane determined by the two lines. IB FIG. 252 Given the line AC perpendicular to DC and CE at C. To prove... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...plane passing through its foot is said to be perpendicular to the plane. Theorem 9 may be stated : If a line is perpendicular to each of two lines at...their point of intersection, it is perpendicular to their plane. COR. If a line is perpendicular to a plane, it is perpendicular to all lines in the plane... | |
 | National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...meet, they intersect in a straight line. 2. If a }ine is perpendicular to each of two intersecting lines at their point of intersection it is perpendicular to the plane of the two lines. 3. Every perpendicular to a given line at a given point lies in a plane perpendicular to the given... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 238 pages
...to Ths. 7 and 8 are left to the pupil. FUNDAMENTAL TEST FOR PERPENDICULARS TO PLANES 16. THEOREM 9. If a line is perpendicular to each of two lines at their intersection, it is perpendicular to all lines that are in their plane and are drawn through their... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...perpendicular to every line drawn through its foot in the plane. PROPOSITION VIII. THEOREM 499. If a straight line is perpendicular to each of two lines at their...intersection, it is perpendicular to the plane of those lines. A A Given BC and BD _L AB, and plane MN containing BC and BD. To prove AB _L plane MN.... | |
 | Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...measures the distance from that point to the plane. [HINT. See definition in ยง 231.] 265. Theorem II. // a line is perpendicular to each of two lines at their point of intersection, it is perpendicular to their plane. Given FB perpendicular at B to each of two straight lines AB and BC of the plane MN. To... | |
 | National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...meet, they intersect in a straight line. 2. If a line is perpendicular to each of two intersecting lines' at their point of intersection it is perpendicular to the plane of the two lines. 3. Every perpendicular to a given line at a given point lies in a plane perpendicular to the given... | |
 | College Entrance Examination Board - Universities and colleges - 1924 - 126 pages
...Omit one question. Take ic = 3. 14. 1. Prove: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane of the two lines. 2. Prove: In a circular cone a section made by a plane parallel to the base is a circle. 3. Prove:... | |
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If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines. 
